makaylafair
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Angle between two lines What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0 (answer in degrees and minutes)
15 degrees, 15 minutes a
62 degrees, 6 minutes b
43 degrees, 31 minutes c
37 degrees, 52 minutes d
I NEED HELP PLEES

Respuesta :

Answer:

d) 37 degrees, 52 minutes

Step-by-step explanation:

3x-2y+1=0 Ā  Ā  Ā  y = 3/2 x + 1/2 Ā  Ā  Ā  ... slopeā‚ (mā‚ = 3/2)

x-3y=0 Ā  Ā  Ā  Ā  Ā  3y =1/3 x Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā  Ā ... slopeā‚‚ (mā‚‚ = 1/3)

acute angle between two slopes: tan Īø = (mā‚-mā‚‚) / (1+mā‚*mā‚‚)

tan Īø = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777

Īø = 37.875Ā°

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